Search a number
-
+
34020870832 = 2413217740099
BaseRepresentation
bin11111101011110011…
…010100101010110000
310020210222021022020001
4133223303110222300
51024133320331312
623343505155344
72313032426224
oct375363245260
9106728238201
1034020870832
1113478992883
12671562bb54
133292413400
14190a472784
15d41b23057
hex7ebcd4ab0

34020870832 has 60 divisors (see below), whose sum is σ = 75574571400. Its totient is φ = 14778276864.

The previous prime is 34020870787. The next prime is 34020870839. The reversal of 34020870832 is 23807802043.

It is a happy number.

It is a super-3 number, since 3×340208708323 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34020870791 and 34020870800.

It is not an unprimeable number, because it can be changed into a prime (34020870839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324082 + ... + 416017.

It is an arithmetic number, because the mean of its divisors is an integer number (1259576190).

Almost surely, 234020870832 is an apocalyptic number.

It is an amenable number.

34020870832 is an abundant number, since it is smaller than the sum of its proper divisors (41553700568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34020870832 is a wasteful number, since it uses less digits than its factorization.

34020870832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740150 (or 740131 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 34020870832 in words is "thirty-four billion, twenty million, eight hundred seventy thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 338 442 676 884 1352 1768 2704 2873 3536 5746 11492 22984 45968 740099 1480198 2960396 5920792 9621287 11841584 12581683 19242574 25163366 38485148 50326732 76970296 100653464 125076731 153940592 163561879 201306928 250153462 327123758 500306924 654247516 1000613848 1308495032 2001227696 2126304427 2616990064 4252608854 8505217708 17010435416 34020870832